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Mathematical Logic (Math 570) Lecture Notes

Mathematical Logic (Math 570) Lecture NotesLou van den DriesFall Semester 2019 Contents1 Mathematical Logic : a brief overview .. Sets and Maps ..52 Basic Concepts of Propositional Logic .. Completeness for Propositional Logic .. Languages and Structures .. Variables and Terms .. Formulas and Sentences .. Models .. Logical Axioms and Rules; Formal Proofs .. 383 The Completeness Another Form of Completeness .. Proof of the Completeness Theorem .. Some Elementary Results of Predicate Logic .. Equational Classes and Universal Algebra .. 544 Some Model L owenheim-Skolem; Vaught s Test.

4 CHAPTER 1. PRELIMINARIES Some highlights (1900{1950) The results below are among the most frequently used facts of mathematical logic. The terminology used in stating these results might be unfamiliar, but

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